SAT SUBJECT TEST MATH LEVEL 1

ALGEBRA

CHAPTER 7
Word Problems

AGE PROBLEMS

In age problems, it often helps to organize the given data in a table.

EXAMPLE 3: In 2001, Lior was four times as old as Ezra, and in 2003, Lior was twice as old as Ezra. How many years older than Ezra is Lior?

Let x represent Ezra’s age in 2001, and make the following table:

Year

 

Ezra

 

Lior

2001

 

x

 

4x

2003

 

x + 2

 

4x + 2

In 2003, Lior was twice as old as Ezra, so

So in 2001, Ezra was 1 and Lior was 4. Lior is 3 years older than Ezra.